Trigonometry Examples

$x + 5 y = 8$

Step 1

Find the x-intercepts.

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Step 1.1

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$x + 5 (0) = 8$

Step 1.2

Simplify $x + 5 (0)$ .

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Step 1.2.1

Multiply $5$ by $0$ .

$x + 0 = 8$

Step 1.2.2

Add $x$ and $0$ .

$x = 8$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(8, 0)$

Step 2

Find the y-intercepts.

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Step 2.1

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$(0) + 5 y = 8$

Step 2.2

Solve the equation.

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Step 2.2.1

Add $0$ and $5 y$ .

$5 y = 8$

Step 2.2.2

Divide each term in $5 y = 8$ by $5$ and simplify.

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Step 2.2.2.1

Divide each term in $5 y = 8$ by $5$ .

$\frac{5 y}{5} = \frac{8}{5}$

Step 2.2.2.2

Simplify the left side.

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Step 2.2.2.2.1

Cancel the common factor of $5$ .

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Step 2.2.2.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{8}{5}$

Step 2.2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{8}{5}$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{8}{5})$

Step 3

List the intersections.

x-intercept(s): $(8, 0)$

y-intercept(s): $(0, \frac{8}{5})$

Step 4